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Solution to Problem 133 Pressure Vessel

Tags: steel tangential stress pressure tank longitudinal stress cylindrical tank

Problem 133

 A cylindrical steel pressure vessel 400 mm in diameter with a wall thickness of 20 mm, is subjected to an internal pressure of 4.5 MN/m2. (a) Calculate

the tangential and longitudinal stresses in the steel. (b) To what value may the internal pressure be increased if the stress in the steel is limited to 120

MN/m2? (c) If the internal pressure were increased until the vessel burst, sketch the type of fracture that would occur.

 

Solution 133

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Part (a)

Tangential stress (longitudinal section):

 

answer  

Longitudinal Stress (transverse section):

 

answer 

 

Part (b)

From (a), and thus, , this shows that tangential stress is the critical.

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